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Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

The spectrum of gluons in the presence of a static quark-antiquark pair is studied using Monte Carlo simulations on anisotropic space-time lattices. For very small quark-antiquark separations R, the level orderings and approximate…

High Energy Physics - Lattice · Physics 2017-08-23 K. Jimmy Juge , Julius Kuti , Colin Morningstar

Understanding the confinement mechanism in gauge theories and the universality of effective string-like descriptions of gauge flux tubes remains a fundamental challenge in modern physics. We probe string modes of motion with dynamical…

We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of…

High Energy Physics - Lattice · Physics 2020-10-08 Andreas Ipp , David Müller

The physical particles in supersymmetric Yang-Mills theory (SYM) are bound states of gluons and gluinos. We have determined the masses of the lightest bound states in SU(3) $\mathcal{N}=1$ SYM. Our simulations cover a range of different…

High Energy Physics - Lattice · Physics 2019-06-12 Sajid Ali , Georg Bergner , Henning Gerber , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

We calculate gluino condensate for supersymmetric Yang Mills theory on general grounds without making any assumption with regard to the weak or strong regime of the theory. Our result coincides with that obtained from an instanton…

High Energy Physics - Phenomenology · Physics 2018-11-02 Renata Jora

We study some features of the confining string connecting a quark-anti-quark pair in Yang-Mills theory. Monte Carlo investigations of the flux tube between two static quarks in the fundamental representation show that its thickness…

High Energy Physics - Lattice · Physics 2011-03-28 M. Pepe

Three topics concerning fermion simulation algorithms are discussed: 1.) A performance comparison of the multiboson technique to simulate dynamical fermions and the Kramers equation algorithm, 2.) the question of reversibility in the Hybrid…

High Energy Physics - Lattice · Physics 2007-05-23 Karl Jansen , Beat Jegerlehner , Chuan Liu

Yang-Mills theory is studied in three dimensions using the equations of motion of the $1$PI and $3$PI effective actions. The employed self-contained truncation includes the propagators, the three-point functions and the four-gluon vertex…

High Energy Physics - Theory · Physics 2016-06-08 Markus Q. Huber

We reformulate the full quantum dynamics of spin systems using a phase space representation based on SU(2) coherent states which generates an exact mapping of the dynamics of any spin system onto a set of stochastic differential equations.…

Statistical Mechanics · Physics 2013-10-10 Ray Ng , Piotr Deuar , Erik Sorensen

The dual Meissner effect scenario of confinement is discussed by studying the low energy regime of SU(2) Yang-Mills in a maximal Abelian gauge. The Abelian projected effective action is computed perturbatively. This serves as an input for a…

High Energy Physics - Theory · Physics 2016-09-06 Filipe Freire

We use gauge/string duality to analytically evaluate the renormalized Polyakov loop in pure Yang-Mills theories. For SU(3), the result is in a quite good agreement with lattice simulations for a broad temperature range.

High Energy Physics - Phenomenology · Physics 2009-06-30 Oleg Andreev

We present a new quantum Monte Carlo algorithm suitable for generically complex problems, such as systems coupled to external magnetic fields or anyons in two spatial dimensions. We find that the choice of gauge plays a nontrivial role, and…

Condensed Matter · Physics 2009-10-22 Lizeng Zhang , Geoff Canright , Ted Barnes

In $\mathcal{N}$=1 supersymmetric Yang-Mills theory the superpartner of the gluon is the gluino, which is a spin 1/2 Majorana particle in the adjoint representation of the gauge group. Combining three gluinos, it is possible to form colour…

High Energy Physics - Lattice · Physics 2018-11-07 Sajid Ali , Georg Bergner , Henning Gerber , Camilo Lopez , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

We present a lattice Monte Carlo simulation for the evaluation of the spectrum of a confining Yang-Mills theory without Goldstone boson. We show that this theory is a very good candidate for describing composite weak bosons. In order to…

High Energy Physics - Lattice · Physics 2009-10-22 A. Galli

The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral…

High Energy Physics - Lattice · Physics 2008-11-26 G. Fleming , J. Kogut , P. Vranas

We describe the conjectured holographic duality between Yang-Mills quantum mechanics and type IIa string theory. This duality allows us to use lattice Monte Carlo simulations to probe the physics of the gravitational theory - for example,…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Catterall , Toby Wiseman

We study the $\theta$-dependence of the string tension and of the lightest glueball mass in four-dimensional $\mathrm{SU}(N)$ Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the $\mathcal{O}(\theta^2)$…

High Energy Physics - Lattice · Physics 2024-05-13 Claudio Bonanno , Claudio Bonati , Mario Papace , Davide Vadacchino

Understanding flux string dynamics can provide insight into quark confinement and hadronization. First-principles quantum and numerical simulations have mostly focused on toy-model Abelian lattice gauge theories (LGTs). With the advent of…

High Energy Physics - Lattice · Physics 2025-10-08 Giovanni Cataldi , Simone Orlando , Jad C. Halimeh

We report the results of a numerical simulation of a lattice formulation of the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and Taniguchi. We measure the 1-point functions and 2-point functions. The scenario is that…

High Energy Physics - Lattice · Physics 2009-04-14 Hidenori Fukaya , Issaku Kanamori , Hiroshi Suzuki , Tomohisa Takimi